Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality

• URL: http://arxiv.org/abs/2307.16507v1
• Date: Mon, 31 Jul 2023 09:09:00 GMT
• Title: Uncertainty relations for metric adjusted skew information and Cauchy-Schwarz inequality
• Authors: Xiaoli Hu, Naihuan Jing
• Abstract summary: Further studies have lead to the uncertainty relations grounded in metric-adjusted skew information. We present an in-depth investigation using the methodologies of sampling coordinates of observables and convex functions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Skew information is a pivotal concept in quantum information, quantum measurement, and quantum metrology. Further studies have lead to the uncertainty relations grounded in metric-adjusted skew information. In this work, we present an in-depth investigation using the methodologies of sampling coordinates of observables and convex functions to refine the uncertainty relations in both the product form of two observables and summation form of multiple observables.

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